A rain gutter is made from aluminum sheets that
28 cm wide. The first step in forming a rain gutter is to lift the edges of the aluminum sheet to form right angles, as show in in the illustration below. The cross-section
area formed by the raised edges affects the water flow. This cross-section area, A, can be represented by the function A = x(28-2x) where x
represents the height of the raised edges.
1. To the nearest centimetre, determine the height of the raised edge, x cm, which will maximize the
transverse area.

Answer:

pit it on -4 because your reflecting it on x

Answer: FALSE

Step-by-step explanation:

An Irrational number is a decimal t hat is non repeating while a rational number is s repeating decimal.

Answer:

False

Step-by-step explanation:

Because the sum of a rational Number and an irrarional number is still irrational.

Answer:

8

Step-by-step explanation:

Answer:8 or -16

Step-by-step explanation:

a) If you mean 10x - 3(x²) when x=2

10(2)- 3(2²)= 20-12=8

b) If you meant 10x - 3x²=

10(2)-(3 x 2)²= 20-6²

20-36=-16

Answer it is B

Step-by-step explanation:

Answer:

[tex] r^2 [/tex]

All choices are incorrect.

Step-by-step explanation:

Remember that [tex] r = r^1 [/tex].

Also remember the rule: [tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]

[tex] \dfrac{r^3}{r} = [/tex]

[tex] = \dfrac{r^3}{r^1} [/tex]

[tex] = r^{3 - 1} [/tex]

[tex] = r^2 [/tex]

Answer: [tex] r^2 [/tex]

All choices are incorrect.

Step-by-step explanation:

4ˣ + 2¹⁺²ˣ = 50

Rewrite 4 as a power of 2.

2²ˣ + 2¹⁺²ˣ = 50

Factor out 2²ˣ.

2²ˣ (1 + 2) = 50

2²ˣ = 50/3

Take log of both sides.

ln(2²ˣ) = ln(50/3)

Use exponent property.

2x ln 2 = ln(50/3)

Solve for x.

x = ln(50/3) / (2 ln 2)

Simplify.

x = ln(50/3) / (ln 4)

x ≈ 2.03

Answer:

  20

Step-by-step explanation:

Your equation is correct. To solve it subtract 1.5r from both sides and divide by the resulting coefficient of r.

  15 = 0.75r

  15/0.75 = r = 20

You must rent 20 movies for the costs to be the same.

Answer:

231

Step-by-step explanation:

I got the answer right

Answer:

Mary has 12 friends, and a total of 13 people including her. Or, she has 25 friends, and a total of 26 people including her.

Step-by-step explanation:

First, we know that 26 is divisible by 1, 2, 13, and 26 because (2x13) and (1x26) both equal 26 but we know that Mary has more than 1 friend and if Mary is also added to the group where the candy is divided, that means that 1 and 2 are both out because Mary has more than 1 friend so 1 cannot be the answer and if Mary has 2 friends, that means that the candy would have to be divided 3 ways which is not possible evenly so the answer is either 12 friends or 25 friends.

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

false you would do it in order of operations

Answer:

$7666.7

Step-by-step explanation:

1800 + 500 = 2300. That means that 30% = 2300. If u divide both sides by 3 then 10% = 766.67 times that by ten and then that will equal $7666.7

Hey there! I'm happy to help!

Here's how to find the distance between any two points.

Subtract the x values.

8-9=-1

Square it.

-1²=1

Subtract the y values.

10-3=7

Square it.

7²=49

Add the two numbers you got.

49+1=50

And find the square root.

√50≈7.1.

Have a wonderful day! :D

Answer:

what was the temperature at first?

Answer:

They all have the passive word, "Visited," so that makes everything a bit more complicated. I can see why you asked the question. I'd go with C. Unless it's a trick question and you're supposed to see that or something.

Answer:

The maximum number of text messages you can send per month would be 23.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.17, so that would need a variable since it can change each month.  You also know that you can spend $29 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.17x+24.99≤29 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.17x≤4.01

3. Now, divide each side by 0.17.  Now your inequality is x≤23.59.  This represents how many text messages you can send per month without going over 29.

4. Finally, you have to realize that is impossible to send exactly 23.59 text messages.  So, you have to round down to 23 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)

Answer:

p=2

Step-by-step explanation:

-7p = -3p - 8

Add 3p to each side

-7p+3p = -3p+3p - 8

-4p = -8

Divide each side by -4

-4p/-4 = -8/-4

p = 2

Answer:

[tex] \huge{ \fbox{ \sf{p = 2}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: - 7p = - 3p - 8}}[/tex]

[tex] \underline{ \underline{ \mathfrak{Let's \: solve}}} : [/tex]

[tex] \text{Step \: 1} : \sf{Move \: 3p \: to \: left \: hand \: side \: and \: change \: it's \: sign}[/tex]

[tex] \mapsto{ \sf{ - 7p + 3p = - 8}}[/tex]

[tex] \text{Step \: 2} : \sf{Collect \: like \: terms}[/tex]

[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base}[/tex]

[tex] \mapsto{ \sf{ - 4p = - 8}}[/tex]

[tex] \text{Step \: 3} : \sf{Divide \: both \: sides \: by \: - 4}[/tex]

[tex] \mapsto{ \sf{ \frac{ - 4p}{ - 4} = \frac{ - 8}{ - 4}}} [/tex]

[tex] \text{Step \: 4} : \sf{Calculate}[/tex]

[tex] \mapsto{ \sf{p = 2}}[/tex]

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

Answer: 12

Step-by-step explanation:

The answer is 12 because:

sizes are 3

toppings are 4

Using the Fundamental Counting Principal you multiple the selections

( 3 x 4=12)

So just learn the fundamental counting principal and it'll be easier. :)

The number of unique ways that you can order a bag of popcorn if you can only select one topping is 12 ways.

Combinations in probability refer to sequences of outcomes where the order does not matter.

Combinations are a way to calculate the total outcomes of an event where the order of the outcomes does not matter. To calculate combinations, we will use the formula nCr = n! / r! × (n - r)! where n represents the total number of items, and r represents the number of items being chosen at a time.

We are given the 3 different sizes of popcorn as;

Small

Medium

Large

Now, we are told that an order of popcorn comes with 4 different topping choices. Thus;

A number of unique ways that you can order a bag of popcorn are;

N = 3×4 = 12 unique ways

Read more about the probability combinations at; brainly.com/question/24756209

#SPJ2

Answer:

let cp be x

mp= x+ (20% 0f x)= 1.2x

sp = mp -d%of mp= 1.2- 15% *1.2 =1.02x

profit = 40

sp-cp =40

1.02x-x=40

x=2000

cp =2000

mp= 1.2*2000=2400

Step-by-step explanation:

Answer:

1/2x³y^6

Step-by-step explanation:

At starting hot-air balloon starts 6 feet.

So, at t = 0 , h = 6 feet.

Now, distance travelled per minute is 20 feet.

So, extra distance travelled in t minutes is 20t feet.

Now,

Total height = Staring height + increase in height w.r.t time.

h = 6 + 20t

Therefore, the height h in feet as a function of time t in minutes is h = 6 + 20t .

Hence, this is the required solution.

Answer:

(4* 1) + (9 * 1/10) + (2 * 1/1000)

Step-by-step explanation:

Given the figure : 4.902

Writw the figure above in expanded form:

4.902

Using the place value indicators :

Unit___tenth___hundredth___thousandth

4______9_______0___________2

Unit:

4 × 1

After the decimal point :

Tenth :

9 × 1/10 =

Hundredth :

0 * 1/ 100

Thousandth:

2 * 1/1000

Hence :

(4* 1) + (9 * 1/10) + 0 + (2 * 1/1000)

Answer:   B

Step-by-step explanation:

4x1+9x1/10+2x1/1000

Option 2

Step-by-step explanation:

[tex](5,4) = (x_1,y_1) \\ m = \frac{4}{5} [/tex]

Substitute values into the point slope form

y-y1 =m(x-x1)

y- 4= 4/5(x-5)

y -4= 4/5x -4

y= 4/5 x -4+4

y= 4/5x

Answer:

59.322% or 59%

Step-by-step explanation:

devide 59,000 from 35,000 to get the answer.

After that, you will get 59% (rounded).

the answer is D (59.3%)

i jus got done takin the math quiz on knowledgematters

Answer:

x = 2

Step-by-step explanation:

Given

[tex]\frac{5}{2}[/tex] x - 3 = 2 ( add 3 to both sides )

[tex]\frac{5}{2}[/tex] x = 5 ( multiply both sides by 2 to clear the fraction )

5x = 10 ( divide both sides by 5 )

x = 2

Answer:

4:00

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

y =  kx

where k is the constant of proportionality

y = 1/2 x  so k= 1/2